and a w on its left side and right side.
Answer:
The greatest area of rectangle is:
625 square units.
Step-by-step explanation:
It is given that:
A rectangle of perimeter 100 units has the dimensions as:
50-w on the top and bottom.
and a w on its left side and right side.
i.e. we may say the length of the rectangle is:
50-w
and the width of the rectangle is:
w
Now, we need to find the greatest area of rectangle.
As the area of rectangle is:
A = w(50 - w)=50w-w^2
Now, to find the maximum area we differentiate the Area with respect to the width as:
Hence, to obtain the maximum area the width of the rectangle is: 25 units.
and that of the length of the rectangle is:
50-25=25 units.
Hence, the dimensions of rectangle in order to obtain the maximum area is:
25 units by 25 units.
So, the area of rectangle is:
Hence, the greatest area of rectangle is:
625 square units.
X3+X (that 3 is supposed to be representing that the X is cubed)
TRIGONOMETRY
Ill give a brainy answer
Answer:
B
Step-by-step explanation:
Drag weights of vegetables she can add to the vegetables she already has to make exactly 2 pounds.
Answer:
The possible amounts of vegetables - 2 pounds of carrot and 0 pounds of broccoli, 0 pounds of carrot and 2 pounds of broccoli, 1 pound of carrot and 1 pound of broccoli
Step-by-step explanation:
It is given that,
Ava has already purchased the amount of vegetables given by,
Carrots = 14 pounds
Broccoli = 12 pounds
She needs exactly 2 pounds of the vegetables for the party.
Thus, the possible amount of vegetables she can have is,
Total Pounds Carrots (pounds) Broccoli (pounds)
2 2 0
2 0 2
2 1 1
Answer:
Step-by-step explanation:
The problem has errors. The right problem is
Ava needs 2 pounds of vegetables for her party. She already has 1/4 pound of carrots and 1/2 pound of broccoli. Drag weights of vegetables she can add to the vegetables she already has to make exactly 2 pounds.
We know that Ava already as 1/2 pounds of broccoli and 1/4 pounds of carrots, so in total she has
To know how many pounds she needs, we have to find the difference
Therefore, she needs to add 5/4 pounds of another vegetable to make exactly 2 pounds. She can add 5/8 pounds of more broccoli and 5/8 pounds of lettuce
Popular Majors Percent of Student Body
Biology 8%
Business Marketing 20%
Communications/Journalism 6%
Education 5%
Engineering 7%
Interdisciplinary Studies 6%
Psychology 6%
Social Sciences 10%
Visual and Performing Arts 8%
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The university’s enrollment is expected to reach at least 20,000 students for the fall semester.
The minimum number of students who are expected to be working towards a Social Sciences degree is
The university requires that any student who is studying Visual and Performing Arts or Communications/Journalism must perform in one of the student productions before graduation. At least 20,000 students will be performing in the university’s student productions before graduation.
In the fall semester, % of the student population will be enrolled in a degree program not listed as one of the university’s most popular.
The most popular degree offered at Arizona State University is
For the fall semester, the university should expect that students will enroll in one of the two most popular
At least 2,000 students are expected to pursue a Social Sciences degree at Arizona State University. The most popular degree is Business Marketing, and about 6,000 students are estimated to enroll in the top two most popular programs (Business Marketing and Social Sciences) in the fall semester.
Based on the information provided about
Arizona State University's
most popular majors and their respective percentages, you can determine the minimum number of students expected to be working towards a Social Sciences degree. The
Social Sciences
program makes up 10% of the student body. Therefore, if the enrollment is expected to reach at least 20,000 students, you can expect that at least 2,000 students (10% of 20,000) will be working towards a
Social Sciences
degree. As for the most popular degree, Business Marketing is listed as comprising 20% of the student body, making it the most popular degree. The two most popular programs, Business Marketing and Social Sciences, make up 30% of the student body. So the university might expect that at least 6,000 students (30% of 20,000) will enroll in one of the two most popular programs in the fall semester.
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